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Finding the Third Proportional to 57,642 and 126,219

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Solution

The third proportional to 57,642 and 126,219 is: 276,382.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,642 : 126,219 = 126,219 : x
  2. Step 2: Convert to fraction form
    57,642/126,219 = 126,219/x
  3. Step 3: Cross multiply
    57,642x = 126,219 × 126,219
  4. Step 4: Simplify right side
    57,642x = 15,931,235,961
  5. Step 5: Solve for x
    x = 15,931,235,961/57,642
  6. Step 6: Final answer
    x = 276,382.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.